do you want the solution too? and I could really just look at the graphs and know. but you know y=-x+2 will go through the point (0,2) and (2,0)
and y=3x-1 will go through (0,-1) and (1/3,0) by plugging 0 in for the x's and solving for the y intercepts then plugging 0 in for y and solving for the x intercepts. The graphs in image 1 cross these points while the other graphs dont.